Which of the following expressions is equivalent to 2y (3y^2 + 4y^4)

Answer: 105 (altough im not entirely sure sry...)

Step-by-step explanation:

I believe since it is "fg" then only the g gets the 7 (g(7)) and the f is just f(1)

This is quite difficult so you this may not be correct

I hope

The graph has no vertex

The transformations from the parent function are

The graph represents the given parameter

As a general rule, the maximum or the minimum of a graph is the vertex

However, the graph has no maximum or minimum

This means that there is absence of a vertex in the graph

Here, we have:

This transformation can be represented as (x - 4, y - 2)

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The 99% confidence limit will be option B which is (45, 55)

90% confidence limits for the population mean are (46,54)

mean = 46+54 / 2 = 50.

the margin of error E = 54-46/2 = 4

For 90% Confidence Z- Critical value is = 1.645

But the margin of error

E = ZS/√n

4=(1.645)S/√n

S/√n = 4 / 1.645

= 2.4316

For 95% confidence Z-critical value is 1.96

A 95% confidence interval is = mean ± E

(50 ± 1.96) S/√n = (50 ± 1.96)×2.4316

= 50+ 4.7660

= 45.2340, 54.7660

= (45, 55)

Hence the correct option is B which is (45, 55) as the 99% confidence limit.

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Answer:

106

Step-by-step explanation:

180-74=106

You can find x by looking at the corresponding angle under it and we know a straight line is 180 degrees and the other side of the x is 74 degrees then we just subtract to find the x angle

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Answer:

Step-by-step explanation:

Answer:Yes, because the line that represents the first wall has a slope of -.25 and the line that represents the second wall has a slope of 4

Step-by-step explanation:

check the slope of both points

(-6,11.5) to (2, 9.5)  

11.5-9.5= 2

-6-2=-8

2/-8

m=-1/4

(-1, -2.5) to (2,9.5)

-2.5=9.5=-12

-1-2=3

-12/-3

m=4

Yes, because the line that represents the first wall has a slope of -.25 and the line that represents the second wall has a slope of 4

According to the vertex form of the parabola,

a) The value of a is -1/7.

b) And If the hoop is 10 ft high, the distance close to Allie have to be in order to make the basket should be 16 feet.

Vertex form of the parabola

The vertex form of the parabola can be given as,

y = a(x - h)² + k

Where

h,k are the coordinates of the vertex.

Given,

Allie is playing basketball. She takes a shot 17 ft away from the basket. When the ball is 2 ft away from her, it is at a height of 10 ft above the floor. The ball reaches its highest height of 17 ft above the floor when it is 9 feet away from her.

Here we need to find the following:

a. The value of a

b.  If the hoop is 10 ft high, how close would Allie have to be in order to make the basket?

We know that, Allie takes a shot of 17 ft away and at the distance of 2 feet the ball achieve the height of 10 feet from the ground.

And the greatest height achieved by the ball is 17 ft above the floor.

Then the value of a is calculated by using the point that is obtained thorough the given details is,

=> (2, 10)

And the vertex of the equation are (9, 17)

When we apply these on the vertex form, then we get,

10 = a(2 -  9)² + 17

-7 = a(-7)²

49a = -7

a = -1/7

Therefore, the value of a is 1/7.

Now we have to find if the hoop is 10 ft high, The distance close to Allie have to be in order to make the basket-

Here the value of y is 10 and x is not known.

Now, we have to put these values on the equation then we get,

=> 10 = -1/7 (x - 9)² + 17

=> -7 = -1/7 (x -9)²

=> 49 = (x - 9)²

=>√49 = x - 9

=> x = 16

Therefore, if the hoop is 10 ft high, the distance close to Allie have to be in order to make the basket should be 16 feet.

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Answer:

9.7x10^-4

Step-by-step explanation:

The value of f(7) is 9 given that f(x) = |19 - 4x|

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input

Given: f(x) = |19 - 4x|

To find f(7), substitute  x = 7 into f(x) = |19 - 4x|:

f(7) = |19 - 4(7)| = |19-28| = |-9|  = 9

Note: The sign |  | means absolute, the sign of any value inside it will be discarded and only the number is written

Therefore, f(7) is 9

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From the information, observe that the food and drug Administration is a US government agency that regulates food and drugs for customer safety.

One thing the FDA regulates is the allowable insect parts in various foods.

When wheat is ground into the flour, insects that were in the wheat are ground up as well.

The mean number of insect parts allowed in 100 grams of wheat flour is 75

The FDA takes a random sample of 35 bags of floor for evaluation and finds that their average of 80 insect parts per 100 grams with a standard deviation of 6.3

In this situation use t test for population mean because the population standard deviation is not known.

Hence, the correct option is (2).

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The absolute maximum value is f(0,±2) = 4 and the absolute minimum value is f(1,0) = -1.

The given function is  F(x,y) = [tex]x^{2}[/tex] + [tex]y^{2}[/tex] - [tex]2x[/tex]   → 1

D is the closed triangular region with the vertices (0,0), (0,2) and (0,-2).

Differentiate 1 partially with respect to x:

df/dx =  [tex]x^{2}[/tex] + [tex]y^{2}[/tex] - [tex]2x[/tex]

[tex]f^{'}[/tex](x) = 2x - 2

Differentiate 1 partially with respect to y:

df/dy = [tex]x^{2}[/tex] + [tex]y^{2}[/tex] - [tex]2x[/tex]

[tex]f^{'}[/tex](y)  = 2y

Consider [tex]f^{'}[/tex](x) = 0 and [tex]f^{'}[/tex](y) = 0 to find the critical points.

[tex]f^{'}[/tex](x) ⇒ 2x -2 =0

x = 1

[tex]f^{'}[/tex](y) ⇒ 2y

y = 0

Thus, the critical point is (x,y) = (1,0).

Calculate the values of f(x,y) at (0,0), (0,2), (0,-2) and (1,0).

At (x,y) = (0,0)

f(0,0) ⇒ 0 + 0 - 0 = 0

At (x,y) = (0,2)

f(0,2) ⇒ 0 + 4 - 0 = 4

At (x,y) = (0,-2)

f(0,-2) ⇒ 0 + 4 - 0 = 4

At (x,y) = (1,0)

f(1,0) ⇒ 1 + 0 - 2 = -1

Therefore, the absolute maximum is f(0,±2) = 4 and the absolute minimum is f(1,0) = -1.

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Answer:

75

Step-by-step explanation:

15*3=45

6*5=30

45+30=75

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The absolute value graph has its equation to be f(x) = |x - 3| + 5

The graph represents the given parameter

From the graph, we can see that the graph is an absolute value graph

An absolute value graph is represented as

f(x) = a|x - h| + k

Where h and k are the vertex of the graph

In this case, they are

h = 3 and k = 5

This is because the minimum point of the graph is (3, 5)

Substitute values for h and k in the form of the equation

So, we have the following representation

f(x) = a|x - 3| + 5

A point on the graph is (2, 6)

This gives

a|2 - 3| + 5 = 6

When the value of variable a is solved, we have

a = 1

So, the equation becomes

f(x) = 1 * |x - 3| + 5

Evaluate the products

f(x) = |x - 3| + 5

Hence, the equation of the graph is f(x) = |x - 3| + 5

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Answer:

[tex]\frac{11}{4}[/tex] or 2 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Here is one way to solve this problem

2x - [tex]\frac{7}{4}[/tex] = x + 1  (3/3 is another way to write one)  Multiply all the way through by 4

4(2x - [tex]\frac{7}{4}[/tex]) = 4(x + 1)  Distributive property

8x -7 = 4x +4  Subtract 4x from both sides

4x - 7 = 4  Add 11 to both sides

4x = 11  Divide both sides by 4

x = [tex]\frac{11}{4}[/tex]

The unit price for a 7-meter roll of blue ribbon costs $12.04 is $1.72.

The unit price is simply used to calculate the price that's paid for each good.

In this case, the 7 -meter roll of blue ribbon costs $12.04. Therefore, to get the unit price goes thus:

= Total amount paid / Number of meters

= $12.04 / 7

= $1.72

The unit price is $1.72.

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The value after solving the expression will be equal to 6.5.

The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

From the data in the question,

The expression is,

2 - (-4.5)

⇒ 2 + 4.5

= 6.5

Therefore, the result for the expression is 6.5.

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Answer:

[tex]6x^{3}t^{3}[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{2x^3t^3}{xt^2}\:\cdot \dfrac{\left(3xt\right)^3}{9x^2t}[/tex]

[tex]\textsf{Apply exponent rule} \quad (ab)^c=a^c \cdot b^c:[/tex]

[tex]\implies \dfrac{2x^3t^3}{xt^2}\:\cdot \dfrac{3^3x^3t^3}{9x^2t}[/tex]

[tex]\implies \dfrac{2x^3t^3}{xt^2}\:\cdot \dfrac{27x^3t^3}{9x^2t}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{b} \cdot \dfrac{c}{d}=\dfrac{ac}{bd}:[/tex]

[tex]\implies \dfrac{2x^3t^327x^3t^3}{xt^29x^2t}[/tex]

Collect like terms:

[tex]\implies \dfrac{2 \cdot 27x^3x^3t^3t^3}{9x^2xt^2t}[/tex]

Multiply the numbers 2 and 27:

[tex]\implies \dfrac{54x^3x^3t^3t^3}{9x^2xt^2t}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies \dfrac{54x^{3+3}t^{3+3}}{9x^{2+1}t^{2+1}}[/tex]

[tex]\implies \dfrac{54x^6t^6}{9x^3t^3}[/tex]

Separate like terms:

[tex]\implies \dfrac{54}{9} \cdot \dfrac{x^6}{x^3}\cdot \dfrac{t^6}{t^3}[/tex]

Divide the numbers 54 and 9:

[tex]\implies 6 \cdot \dfrac{x^6}{x^3}\cdot \dfrac{t^6}{t^3}[/tex]

[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies 6 \cdot x^{6-3}\cdot t^{6-3}[/tex]

[tex]\implies 6 \cdot x^{3}\cdot t^{3}[/tex]

[tex]\implies 6x^{3}t^{3}[/tex]

Answer: 1/4

Step-by-step explanation:

0.75 liters is the same as 750 grams.

So, the total mass of the mixture is [tex]300+150+750=1200[/tex] g.

This means the ratio is [tex]\frac{300}{1200}=\frac{1}{4}[/tex].

Answer:

Flour : total mass = 1 : 4

Step-by-step explanation:

Given ingredients for the cake:

First convert the mass of the water to the same SI units as the other ingredients.

1 liter = 1000 g

⇒ Water = 0.75 liters = 750 g

Total mass of the mixture:

= flour + sugar + water

= 300 g + 150 g + 750 g

= 1200 g

Therefore, the flour to total mass ratio is:

⇒ Flour : total mass = 300 : 1200 = 1 : 4

The graph g(x) is graph of f(x) translated down 10 units.

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is plotted as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that changes over time is represented by a line graph.

Given:

f(x) = x, when g(x) = f(x) - 10

As, from the graph we can see that both function f(x) and g(x) shows a parallel relation.

Also, the function f(x) is subtracted from 10 then the function is translated down by 10 units.

Hence, g(x) is graph of f(x) translated down 10 units.

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There is no possible solution for the weight of raspberries sold, given that 28 pounds of banana were sold.

What is Co-ordinate Geometry?

Graphs and coordinates are utilised in coordinate geometry to discover information about various geometric figures. A description of the coordinate plane must be included in a definition of coordinate geometry. A coordinate plane, also known as a coordinate graph, is a grid system formed by the intersection of two number lines known as axes. The x-axis is the horizontal number line, and the y-axis is the vertical number line. These axes meet at a position known as the origin.

Solution:

let, the total weight of banana sold be x pounds

and total weight of raspberries soldd be y pounds.

From the data given in the question, the equation formed is

3x + 2.25y = 72

(See Graph)

at x = 28 we will get the value of y as -5.34

which is not a possible solution

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Answer:

0.000065 km

Step-by-step explanation:

To get from cm to km you need to divide 6.5 by 0.000001 which equals 0.000065km

The point (-2, 7) is not on the graph of y = -2x + 1

From the question, we have the following equation

y = -2x + 1

This equation represents the equation of the graph

Also, we have the following points

(-2, 7)

This point implies that

(x, y) = (-2, 7)

Substitute (x, y) = (-2, 7) in the equation y = -2x + 1

So, we have

7 = -2 x -2 + 1

Evaluate

7 = 5

This is false

Hence, the point is not on the graph

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Answer:

1710 grams (not on the answer list)

Step-by-step explanation:

The total weight of the 4 packages is 3.8 pounds (lbs). The conversion factor is (0.45 kg/lb).

(3.8 lbs)*((0.45 kg/lb) = 1.71 kg or 1710 grams. Pease check the numbers provided.

Answer:

Question 1: #3 is correct.

Question 2: #4 is correct.

Answer:

y=2·6^2

Step-by-step explanation:

Use formula y=a[tex]b^x[/tex], plug in two different points.

72=ab^2

12=ab^1

isolate one so that a is on one side

a=[tex]\frac{12}{b}[/tex]

plug in a into the other equation

72=[tex]\frac{12}{b}[/tex][tex]b^2[/tex]

72=[tex]\frac{12b^2}{b}[/tex]

72=12b

b=6

complete solving for a now

a=2

now put it back into [tex]y=ab^x[/tex]

y=2·6^2

The constant of variation is 13.

The value of y when x is 15 is 195.

Direct variation is when two values move in the same direction. If one variable increases, the other variable increases.

The equation that represents direct variation is:

y = kx

Where:

91 = 7k

k = 91 / 7

k = 13

The value of y when x = 15

y = 13 x 15

y = 195

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The number of early-admission tickets that it sells is 30.

From the information, 30% of the tickets sold at a school carnival were early-admission tickets and the school sold 100 tickets in all.

Therefore, the number of early admission will be:

= Percentage for early admission × Total number of tickets

= 30% × 100

= 0.3 × 100

= 30

Therefore, there are 30 early admission.

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